{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from QKDNetwork import QKDNetwork\n",
    "from compare import Compare\n",
    "import time\n",
    "from load_balance import getLoadBalanceRouteList as lp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "times = []\n",
    "for node_num in range(10, 200, 20):\n",
    "    tmp_avg = []\n",
    "    for _ in range(20):\n",
    "        q = QKDNetwork(showTopology=False, num_node=node_num, sd_num=20, alpha=0.25, hete=False, hybrid=True)\n",
    "        tmp_avg.append(lp(q, forOverhead=True))\n",
    "    times.append(sum(tmp_avg) / len(tmp_avg))\n",
    "    # print(lp(q, forOverhead=True))\n",
    "print(times)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "\n",
    "matplotlib.rcParams['svg.fonttype'] = 'none'\n",
    "\n",
    "# 节点数量列表\n",
    "node_nums = list(range(10, 200, 20))\n",
    "\n",
    "# Overhead时间列表（单位转换为毫秒）\n",
    "overhead_times_ms = [time * 1000 for time in [0.014347922801971436, 0.014580333232879638, 0.014049041271209716, \n",
    "                                             0.01422346830368042, 0.014624845981597901, 0.015896689891815186, \n",
    "                                             0.015220510959625243, 0.01728518009185791, 0.01727973222732544, \n",
    "                                             0.017372322082519532]]\n",
    "overhead_times_ms1 = [time * 1000 for time in [0.012561428546905517, 0.014553070068359375, 0.016224491596221923, \n",
    "                                              0.017208731174468993, 0.023146986961364746, 0.02389240264892578, \n",
    "                                              0.028225398063659667, 0.037177574634552, 0.04001551866531372, \n",
    "                                              0.05212337970733642]]\n",
    "\n",
    "# 创建图表\n",
    "plt.figure(figsize=(8, 6))\n",
    "\n",
    "# 定义柱状图的宽度\n",
    "bar_width = 3\n",
    "index = node_nums  # x轴的位置\n",
    "\n",
    "# 绘制第一个数据系列的柱状图\n",
    "bar1 = plt.bar([i - bar_width / 2 for i in index], overhead_times_ms, width=bar_width, label='RPS', alpha=0.8)\n",
    "\n",
    "# 绘制第二个数据系列的柱状图\n",
    "bar2 = plt.bar([i + bar_width / 2 for i in index], overhead_times_ms1, width=bar_width, label='PSP', alpha=0.8, color='orange')\n",
    "\n",
    "# 添加标题和标签\n",
    "plt.title('Overhead Time vs. Node Number', fontsize=18)\n",
    "plt.xlabel('Node Number', fontsize=18)\n",
    "plt.ylabel('Overhead Time (ms)', fontsize=18)\n",
    "plt.xticks(node_nums, fontsize=18)\n",
    "plt.yticks(fontsize=18)\n",
    "\n",
    "# 显示网格\n",
    "plt.grid(True, axis='y')\n",
    "\n",
    "# 添加图例\n",
    "plt.legend(handles=[bar1, bar2], fontsize=16)\n",
    "\n",
    "# 保存并显示图表\n",
    "plt.savefig(\"overhead_bar.svg\", format=\"svg\")\n",
    "plt.show()"
   ]
  }
 ],
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